Pullback attractors for the nonclassical diffusion equations with memory in time-dependent spaces
In this paper, we consider the asymptotic behavior of nonclassical diffusion equations with hereditary memory and time-dependent perturbed parameter on whole space $ \mathbb{R}^n $. Under a general assumption on the memory kernel $ k $, the existence and regularity of time-dependent global attractor...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-11-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231561?viewType=HTML |
| _version_ | 1827632589826949120 |
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| author | Ke Li Yongqin Xie Yong Ren Jun Li |
| author_facet | Ke Li Yongqin Xie Yong Ren Jun Li |
| author_sort | Ke Li |
| collection | DOAJ |
| description | In this paper, we consider the asymptotic behavior of nonclassical diffusion equations with hereditary memory and time-dependent perturbed parameter on whole space $ \mathbb{R}^n $. Under a general assumption on the memory kernel $ k $, the existence and regularity of time-dependent global attractors are proven using a new analytical technique. It is remarkable that the nonlinearity $ f $ has no restriction on the upper growth. |
| first_indexed | 2024-03-09T14:47:43Z |
| format | Article |
| id | doaj.art-b77df313eb9f4273b8193eb4d28b97f3 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-09T14:47:43Z |
| publishDate | 2023-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-b77df313eb9f4273b8193eb4d28b97f32023-11-27T01:28:18ZengAIMS PressAIMS Mathematics2473-69882023-11-01812305373056110.3934/math.20231561Pullback attractors for the nonclassical diffusion equations with memory in time-dependent spacesKe Li 0Yongqin Xie 1Yong Ren2 Jun Li31. School of General Education, Hunan University of Information Technology, Changsha, Hunan 410151, China1. School of General Education, Hunan University of Information Technology, Changsha, Hunan 410151, China 2. School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, Hunan 410114, China2. School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, Hunan 410114, China1. School of General Education, Hunan University of Information Technology, Changsha, Hunan 410151, ChinaIn this paper, we consider the asymptotic behavior of nonclassical diffusion equations with hereditary memory and time-dependent perturbed parameter on whole space $ \mathbb{R}^n $. Under a general assumption on the memory kernel $ k $, the existence and regularity of time-dependent global attractors are proven using a new analytical technique. It is remarkable that the nonlinearity $ f $ has no restriction on the upper growth.https://www.aimspress.com/article/doi/10.3934/math.20231561?viewType=HTMLnonclassical diffusion equationtime-dependent global attractormemoryunbounded domain |
| spellingShingle | Ke Li Yongqin Xie Yong Ren Jun Li Pullback attractors for the nonclassical diffusion equations with memory in time-dependent spaces AIMS Mathematics nonclassical diffusion equation time-dependent global attractor memory unbounded domain |
| title | Pullback attractors for the nonclassical diffusion equations with memory in time-dependent spaces |
| title_full | Pullback attractors for the nonclassical diffusion equations with memory in time-dependent spaces |
| title_fullStr | Pullback attractors for the nonclassical diffusion equations with memory in time-dependent spaces |
| title_full_unstemmed | Pullback attractors for the nonclassical diffusion equations with memory in time-dependent spaces |
| title_short | Pullback attractors for the nonclassical diffusion equations with memory in time-dependent spaces |
| title_sort | pullback attractors for the nonclassical diffusion equations with memory in time dependent spaces |
| topic | nonclassical diffusion equation time-dependent global attractor memory unbounded domain |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231561?viewType=HTML |
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